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Finding the Fourth Proportional to 1,377.54, 1,900.49 and 905.68

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Solution

The fourth proportional to 1,377.54, 1,900.49 and 905.68 is: 1,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.54 : 1,900.49 = 905.68 : x
  2. Step 2: Convert to fraction form
    1,377.54/1,900.49 = 905.68/x
  3. Step 3: Cross multiply
    1,377.54x = 1,900.49 × 905.68
  4. Step 4: Simplify right side
    1,377.54x = 1,721,226.28
  5. Step 5: Solve for x
    x = 1,721,226.28/1,377.54
  6. Step 6: Final answer
    x = 1,249.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.